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var TreeBase = require('./treebase'); function Node(data) { this.data = data; this.left = null; this.right = null; this.red = true; } Node.prototype.get_child = function(dir) { return dir ? this.right : this.left; }; Node.prototype.set_child = function(dir, val) { if(dir) { this.right = val; } else { this.left = val; } }; function RBTree(comparator) { this._root = null; this._comparator = comparator; this.size = 0; } RBTree.prototype = new TreeBase(); // returns true if inserted, false if duplicate RBTree.prototype.insert = function(data) { var ret = false; if(this._root === null) { // empty tree this._root = new Node(data); ret = true; this.size++; } else { var head = new Node(undefined); // fake tree root var dir = 0; var last = 0; // setup var gp = null; // grandparent var ggp = head; // grand-grand-parent var p = null; // parent var node = this._root; ggp.right = this._root; // search down while(true) { if(node === null) { // insert new node at the bottom node = new Node(data); p.set_child(dir, node); ret = true; this.size++; } else if(is_red(node.left) && is_red(node.right)) { // color flip node.red = true; node.left.red = false; node.right.red = false; } // fix red violation if(is_red(node) && is_red(p)) { var dir2 = ggp.right === gp; if(node === p.get_child(last)) { ggp.set_child(dir2, single_rotate(gp, !last)); } else { ggp.set_child(dir2, double_rotate(gp, !last)); } } var cmp = this._comparator(node.data, data); // stop if found if(cmp === 0) { break; } last = dir; dir = cmp < 0; // update helpers if(gp !== null) { ggp = gp; } gp = p; p = node; node = node.get_child(dir); } // update root this._root = head.right; } // make root black this._root.red = false; return ret; }; // returns true if removed, false if not found RBTree.prototype.remove = function(data) { if(this._root === null) { return false; } var head = new Node(undefined); // fake tree root var node = head; node.right = this._root; var p = null; // parent var gp = null; // grand parent var found = null; // found item var dir = 1; while(node.get_child(dir) !== null) { var last = dir; // update helpers gp = p; p = node; node = node.get_child(dir); var cmp = this._comparator(data, node.data); dir = cmp > 0; // save found node if(cmp === 0) { found = node; } // push the red node down if(!is_red(node) && !is_red(node.get_child(dir))) { if(is_red(node.get_child(!dir))) { var sr = single_rotate(node, dir); p.set_child(last, sr); p = sr; } else if(!is_red(node.get_child(!dir))) { var sibling = p.get_child(!last); if(sibling !== null) { if(!is_red(sibling.get_child(!last)) && !is_red(sibling.get_child(last))) { // color flip p.red = false; sibling.red = true; node.red = true; } else { var dir2 = gp.right === p; if(is_red(sibling.get_child(last))) { gp.set_child(dir2, double_rotate(p, last)); } else if(is_red(sibling.get_child(!last))) { gp.set_child(dir2, single_rotate(p, last)); } // ensure correct coloring var gpc = gp.get_child(dir2); gpc.red = true; node.red = true; gpc.left.red = false; gpc.right.red = false; } } } } } // replace and remove if found if(found !== null) { found.data = node.data; p.set_child(p.right === node, node.get_child(node.left === null)); this.size--; } // update root and make it black this._root = head.right; if(this._root !== null) { this._root.red = false; } return found !== null; }; function is_red(node) { return node !== null && node.red; } function single_rotate(root, dir) { var save = root.get_child(!dir); root.set_child(!dir, save.get_child(dir)); save.set_child(dir, root); root.red = true; save.red = false; return save; } function double_rotate(root, dir) { root.set_child(!dir, single_rotate(root.get_child(!dir), !dir)); return single_rotate(root, dir); } module.exports = RBTree;
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